A cyclist travels at a constant speed of rezu6r a4*t-i$22.0 \mathrm{~km} / \mathrm{hr}$ except for a 20 minute stop. The cyclists average speed was $17.5 \mathrm{~km} / \mathrm{hr}$. How far did the cyclist travel?

  Rank the magnitudes of the average acceleration during the ten second interi)jj ,7ea c+ u6eefb;oval.

  Rank the magnitudes of the maximum velocity achieved during the ten second inte78w gams0lk7jrva 7samjgl kw087l.

  Rank the magnitudes of the distancezeiw9 8- bs7nobzj(c 28ee)kq traveled during the ten second interval.

  A crude approximation is that the E /q go,-bbdmhx2zal)0 arth travels in a circular orbit about the Sun at constant speed, at a dista-,)g b h xa/2zmoqlbd0nce of $150,000,000 \mathrm{~km}$ from the Sun. Which of the following is the closest for the acceleration of the Earth in this orbit?

  A child is sliding out of controls8j-8s k1gv uap4-fx1d4ij/ruu:sa s with velocity $v_{\mathrm{c}}$ across a frozen lake. He runs head-on into another child, initially at rest, with 3 times the mass of the first child, who holds on so that the two now slide together. What is the velocity of the couple after the collision?

  An ice skater can rotate about a,8)l9c0 aykv6pongkaf +j.cr vertical axis with an angular velocity $\omega_{0}$ by holding her arms straight out. She can then pull in her arms close to her body so that her angular velocity changes to $2 \omega_{0}$, without the application of any external torque. What is the ratio of her final rotational kinetic energy to her initial rotational kinetic energy?

  When a block of wood wtn1b,gqqi+/0dahg l ;ith a weight of $30 \mathrm{~N}$ is completely submerged under water the buoyant force on the block of wood from the water is $50 \mathrm{~N}$. When the block is released it floats at the
surface. What fraction of the block will then be visible above the surface of the water when the block is floating?

  A spring has an equilibrium length of 2ae;mp) z pxh3).0 meters and a spring constant of 10 newtons/meter. Alice is pulling on one end of the spring with a force of 3.0 newtons. Bob is pulling on the opposite end of the spring with a force of 3.0 newtons, in the opposite direction. What is the resulzxm ea hp;p))3ting length of the spring?

  Which of the following changes will resuw9t p wze125 2no52b 7hkqolgj4 e3bvzlt in an increase in the period of a sim 93 5z1e2j 7zwgponhv2 w5keb24bqotlple pendulum?

  A large metal cylindrof34a5jyy87:l,ni3 .jpga ryjp a3 q lical cup floats in a rectangular tub half-filled with water. The tap is placed over the cup and turned on, releasing wate37glj.py a34iqpy a: ,rn3fa8 jojy5 lr at a constant rate. Eventually the cup sinks to the bottom and is completely submerged. Which of the following five graphs could represent the water level in the sink as a function of time?

  You are given a large collection of identical heavy bjkgpl7is l5s ;uxerz:f 0 7b 6dxb8f,6alls and lightweight rods. When two balls are placed at the ends of one rod and interact through their mutual gravitational attraction (as is shown on the left), the compressive force in the rod ,spff; u:z5r8bj0x sb7e6k6 xgil7l d is $F$. Next, three balls and three rods are placed at the vertexes and edges of an equilateral triangle (as is shown on the right). What is the compressive force in each rod in the latter case?

  The apparatus in the diagram consists of 6 (6saravnw)x a solid cylinder of radius $1 \mathrm{~cm}$ attached at the center to two disks of radius $2 \mathrm{~cm}$. It is placed on a surface where it can roll, but will not slip. A thread is wound around the central cylinder. When the thread is pulled at the angle $\theta=90^{\circ}$ to the horizontal (directly up), the apparatus rolls to the right. Which below is the largest value of $\theta$ for which it will not roll to the right when pulling on the thread?

  You have 5 different6o t8fnwqsnx*j x /;1w strings with weights tied at various point, all hanging from the ceiling, and reaching down to the floor. The string is releas/fs6 8nx;j oqwxtw1n*ed at the top, allowing the weights to fall. Which one will create a regular, uniform beating sound as the weights hit the floor?

  A vertical mass-spring oscillator is disp0ur4 azt(j6 rkg95v ,rt2 uwi6/bnhnhlaced $2.0 \mathrm{~cm}$ from equilibrium. The $100 \mathrm{~g}$ mass passes through the equilibrium point with a speed of $0.75 \mathrm{~m} / \mathrm{s}$. What is the spring constant of the spring?

  What magnitude force does Jonathan need to exert on the physics bookmp afrd 6f2 hqd*f/3.q to keep the rope from slippingf3m hqq f*p 62fd./ard?

  Jonathan applies a nort( 5(8dztqfoe mal force that is just enough to keep the rope from slipping. Becky makes a small jump, barely leaving contact with the floor of the box. Upon landing on the box, the force of the impact causes the rope to start slipping from Jonathans hand. At what speed does the box smash into the ground? Astt8o f z(edq5(sume Jonathans normal force does not change.

  A block of mass $m=3.0 \mathrm{~kg}$ slides down one ramp, and then up a second ramp. The coefficient of kinetic friction between the block and each ramp is $\mu_{\mathrm{k}}=0.40$. The block begins at a height $\mathrm{h}_{1}=1.0 \mathrm{~m}$ above the horizontal. Both ramps are at a $30^{\circ}$ incline above the horizontal. To what height above the horizontal does the block rise on the second ramp?

  After how much time will the particle firstu ga r( gd*xokm5)(pf6 return to the origin?

  What is the maximum distance between the particle and the o(lv- 6j43/zyifa ycf ie6nxip;5tv: erigin?

  An engineer is given a fix 0-u /k22c8okue o7drrlwv*f)lgkin 5 ed volume $V_{m}$ of metal with which to construct a spherical pressure vessel. Interestingly, assuming the vessel has thin walls and is always pressurized to near its bursting point, the amount of gas the vessel can contain, $n$ (measured in moles), does not depend on the radius $r$ of the vessel; instead it depends only on $V_{m}$ (measured in $\mathrm{m}^{3}$ ), the temperature $T$ (measured in $\mathrm{K}$ ), the ideal gas constant $R$ (measured in $\mathrm{J} /(\mathrm{K} \cdot \mathrm{mol})$ ), and the
tensile strength of the metal $\sigma$ (measured in $\mathrm{N} / \mathrm{m}^{2}$ ). Which of the following gives $n$ in terms of these parameters?

  This graph depicts the torque iz)aws.) n8nc output of a hypothetical gasoline engine as a function of rotation frequency. The engine is incapable of running outside of the graphed range. si)wn8nca .z )


At what engine RPM (revolutions per minute) does the engine produce maximum power?

  A particle is launched from the surface of a uniform, stationary spherical planeh0c s7-c c*vhat at an angascv h h-07cc*le to the vertical. The particle travels in the absence of air resistance and eventually falls back onto the planet. Spaceman Fred describes the path of the particle as a parabola using the laws of projectile motion. Spacewoman Kate recalls from Keplers laws that every bound orbit
around a point mass is an ellipse (or circle), and that the gravitation due to a uniform sphere is identical to that of a point mass. Which of the following best explains the discrepancy?

  A turntable is supported on a Teflon ring of in o5g6-zbjyzg0lz (yf3ner radius $R$ and outer radius $R+\sigma(\sigma << R)$, as shown in the diagram. To rotate the turntable at a constant rate, power must be supplied to overcome friction. The manufacturer of the turntable wishes to reduce the power required without changing the rotation rate, the weight of the turntable, or the coefficient of friction of the Teflon surface. Engineers propose two solutions: increasing the width of the bearing (increasing $\sigma$ ), or increasing the radius (increasing $R$ ). What are the effects of these proposed changes?

  A hollow cylinder with a very thin wall (like a toilet paper tube) and a block7c:jj te1sf3a are placed at rest at the top of a plane with incli fc:j1 a73setjnation $\theta$ above the horizontal. The cylinder rolls down the plane without slipping and the block slides down the plane; it is found that both objects reach the bottom of the plane simultaneously. What is the coefficient of kinetic friction between the block and the plane?